The answer is:
[tex]SmallerSectionFraction=\frac{1}{6}[/tex]
From the statement we know that there is a playground divided into 3 equal sections, then the middle section is divided into 2 smaller sections, we can find what fraction has the middle section by dividing into 2.
So, calculating we have:
[tex]SmallerSectionFraction=\frac{FirstFraction}{2}[/tex]
[tex]SmallerSectionFraction=\frac{\frac{1}{3}}{2}=\frac{1}{6}[/tex]
So, the smaller sections will be [tex]\frac{1}{6}[/tex] of the original play ground.
Have a nice day!
